Interplay between the local metric dimension and the clique number of a graph

Ali Ghalavand, Sandi Klavžar, Xueliang Li

The local metric dimension ${\dim }_l$ in relation to the clique number $\omega$ is investigated. It is proved that if $\omega (G)\le n(G)-3$, then ${\dim }_l(G)\le n(G)-3$ and the gra…